%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL473+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:52:33 AM UTC 2026
% Result : Theorem 44.60s 11.72s
% Output : Refutation 77.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 35
% Syntax : Number of formulae : 205 ( 47 unt; 19 def)
% Number of atoms : 837 ( 28 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1231 ( 599 ~; 593 |; 2 &)
% ( 25 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 30 ( 28 usr; 28 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 244 ( 0 sgn 242 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( modus_ponens
<=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modus_ponens) ).
fof(f2,axiom,
( substitution_of_equivalents
<=> ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',substitution_of_equivalents) ).
fof(f14,axiom,
( equivalence_2
<=> ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalence_2) ).
fof(f19,axiom,
( cn1
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn1) ).
fof(f20,axiom,
( cn2
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn2) ).
fof(f21,axiom,
( cn3
<=> ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn3) ).
fof(f29,axiom,
( op_implies_and
=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_implies_and) ).
fof(f31,axiom,
( op_equiv
=> ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_equiv) ).
fof(f34,axiom,
op_equiv,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_op_equiv) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_modus_ponens) ).
fof(f36,axiom,
cn1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_cn1) ).
fof(f37,axiom,
cn2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_cn2) ).
fof(f38,axiom,
cn3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka_cn3) ).
fof(f39,axiom,
substitution_of_equivalents,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',use_substitution_of_equivalents) ).
fof(f41,axiom,
op_implies_and,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_implies_and) ).
fof(f43,conjecture,
equivalence_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_equivalence_2) ).
fof(f44,negated_conjecture,
~ equivalence_2,
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f45,plain,
~ equivalence_2,
inference(flattening,[],[f44]) ).
fof(f46,plain,
( cn3
=> ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) ),
inference(unused_predicate_definition_removal,[],[f21]) ).
fof(f47,plain,
( cn2
=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
inference(unused_predicate_definition_removal,[],[f20]) ).
fof(f48,plain,
( cn1
=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
inference(unused_predicate_definition_removal,[],[f19]) ).
fof(f49,plain,
( ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))
=> equivalence_2 ),
inference(unused_predicate_definition_removal,[],[f14]) ).
fof(f50,plain,
( substitution_of_equivalents
=> ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
=> X0 = X1 ) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f51,plain,
( modus_ponens
=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f55,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(ennf_transformation,[],[f51]) ).
fof(f56,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
( ! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) )
| ~ substitution_of_equivalents ),
inference(ennf_transformation,[],[f50]) ).
fof(f58,plain,
( equivalence_2
| ? [X0,X1] : ~ is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
inference(ennf_transformation,[],[f49]) ).
fof(f59,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ cn1 ),
inference(ennf_transformation,[],[f48]) ).
fof(f60,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ cn2 ),
inference(ennf_transformation,[],[f47]) ).
fof(f61,plain,
( ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ cn3 ),
inference(ennf_transformation,[],[f46]) ).
fof(f63,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(ennf_transformation,[],[f29]) ).
fof(f64,plain,
( ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(ennf_transformation,[],[f31]) ).
fof(f65,plain,
( equivalence_2
| ~ is_a_theorem(implies(equiv(sK0,sK1),implies(sK1,sK0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f58]) ).
fof(f66,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| ~ modus_ponens ),
inference(cnf_transformation,[],[f56]) ).
fof(f67,plain,
! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1))
| ~ substitution_of_equivalents ),
inference(cnf_transformation,[],[f57]) ).
fof(f68,plain,
( equivalence_2
| ~ is_a_theorem(implies(equiv(sK0,sK1),implies(sK1,sK0))) ),
inference(cnf_transformation,[],[f65]) ).
fof(f69,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ cn1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f70,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ cn2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f71,plain,
! [X0] :
( is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ cn3 ),
inference(cnf_transformation,[],[f61]) ).
fof(f73,plain,
! [X0,X1] :
( implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(cnf_transformation,[],[f63]) ).
fof(f74,plain,
! [X0,X1] :
( equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(cnf_transformation,[],[f64]) ).
fof(f76,plain,
op_equiv,
inference(cnf_transformation,[],[f34]) ).
fof(f77,plain,
modus_ponens,
inference(cnf_transformation,[],[f35]) ).
fof(f78,plain,
cn1,
inference(cnf_transformation,[],[f36]) ).
fof(f79,plain,
cn2,
inference(cnf_transformation,[],[f37]) ).
fof(f80,plain,
cn3,
inference(cnf_transformation,[],[f38]) ).
fof(f81,plain,
substitution_of_equivalents,
inference(cnf_transformation,[],[f39]) ).
fof(f83,plain,
op_implies_and,
inference(cnf_transformation,[],[f41]) ).
fof(f85,plain,
~ equivalence_2,
inference(cnf_transformation,[],[f45]) ).
fof(f87,definition,
( spl2_1
<=> op_equiv ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f91,definition,
( spl2_2
<=> ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f92,plain,
( ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f93,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f74,f91,f87]) ).
fof(f95,definition,
( spl2_3
<=> op_implies_and ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f99,definition,
( spl2_4
<=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f100,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f101,plain,
( ~ spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f73,f99,f95]) ).
fof(f111,definition,
( spl2_7
<=> cn3 ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f115,definition,
( spl2_8
<=> ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
fof(f116,plain,
( ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f117,plain,
( ~ spl2_7
| spl2_8 ),
inference(avatar_split_clause,[],[f71,f115,f111]) ).
fof(f119,definition,
( spl2_9
<=> cn2 ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
fof(f123,definition,
( spl2_10
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
fof(f124,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f125,plain,
( ~ spl2_9
| spl2_10 ),
inference(avatar_split_clause,[],[f70,f123,f119]) ).
fof(f127,definition,
( spl2_11
<=> cn1 ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
fof(f131,definition,
( spl2_12
<=> ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
fof(f132,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f133,plain,
( ~ spl2_11
| spl2_12 ),
inference(avatar_split_clause,[],[f69,f131,f127]) ).
fof(f135,definition,
( spl2_13
<=> is_a_theorem(implies(equiv(sK0,sK1),implies(sK1,sK0))) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
fof(f137,plain,
( ~ is_a_theorem(implies(equiv(sK0,sK1),implies(sK1,sK0)))
| spl2_13 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f139,definition,
( spl2_14
<=> equivalence_2 ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
fof(f142,plain,
( ~ spl2_13
| spl2_14 ),
inference(avatar_split_clause,[],[f68,f139,f135]) ).
fof(f144,definition,
( spl2_15
<=> substitution_of_equivalents ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
fof(f148,definition,
( spl2_16
<=> ! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
fof(f149,plain,
( ! [X0,X1] :
( ~ is_a_theorem(equiv(X0,X1))
| X0 = X1 )
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f150,plain,
( ~ spl2_15
| spl2_16 ),
inference(avatar_split_clause,[],[f67,f148,f144]) ).
fof(f152,definition,
( spl2_17
<=> modus_ponens ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
fof(f156,definition,
( spl2_18
<=> ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
fof(f157,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) )
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f158,plain,
( ~ spl2_17
| spl2_18 ),
inference(avatar_split_clause,[],[f66,f156,f152]) ).
fof(f160,plain,
~ spl2_14,
inference(avatar_split_clause,[],[f85,f139]) ).
fof(f161,plain,
spl2_1,
inference(avatar_split_clause,[],[f76,f87]) ).
fof(f162,plain,
spl2_17,
inference(avatar_split_clause,[],[f77,f152]) ).
fof(f163,plain,
spl2_11,
inference(avatar_split_clause,[],[f78,f127]) ).
fof(f164,plain,
spl2_9,
inference(avatar_split_clause,[],[f79,f119]) ).
fof(f165,plain,
spl2_7,
inference(avatar_split_clause,[],[f80,f111]) ).
fof(f166,plain,
spl2_15,
inference(avatar_split_clause,[],[f81,f144]) ).
fof(f169,plain,
spl2_3,
inference(avatar_split_clause,[],[f83,f95]) ).
fof(f170,plain,
( ! [X0] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) )
| ~ spl2_8
| ~ spl2_18 ),
inference(resolution,[],[f157,f116]) ).
fof(f171,plain,
( ! [X0,X1] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) )
| ~ spl2_10
| ~ spl2_18 ),
inference(resolution,[],[f157,f124]) ).
fof(f183,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),and(X0,not(X1))))
| is_a_theorem(and(X0,not(X1))) )
| ~ spl2_4
| ~ spl2_8
| ~ spl2_18 ),
inference(superposition,[],[f170,f100]) ).
fof(f184,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(and(X0,not(X1)),implies(implies(X0,X1),X2)))
| ~ spl2_4
| ~ spl2_10 ),
inference(superposition,[],[f124,f100]) ).
fof(f196,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f132,f157]) ).
fof(f197,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) )
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f196,f157]) ).
fof(f198,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f197,f124]) ).
fof(f199,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl2_8
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f197,f116]) ).
fof(f206,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X1),X2)) )
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f198,f157]) ).
fof(f209,plain,
( ! [X0] : is_a_theorem(implies(X0,X0))
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f199,f124]) ).
fof(f211,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(not(X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) )
| ~ spl2_8
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f199,f196]) ).
fof(f225,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(not(implies(not(X0),X1)),X2))
| ~ is_a_theorem(X0) )
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f206,f124]) ).
fof(f253,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X1) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f211,f171]) ).
fof(f260,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X2,X0)))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f253,f197]) ).
fof(f292,plain,
( ! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f260,f124]) ).
fof(f307,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(implies(X1,X0)) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f292,f199]) ).
fof(f315,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f292,f211]) ).
fof(f318,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X2)) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f315,f197]) ).
fof(f326,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(X1) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f307,f225]) ).
fof(f339,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(not(X0),X1),X2),X2))
| ~ is_a_theorem(X0) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f326,f211]) ).
fof(f438,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(not(X0)) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f318,f198]) ).
fof(f440,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X2))
| is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X0) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f318,f292]) ).
fof(f441,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f318,f132]) ).
fof(f468,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X2),X3),X1))
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X2) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f440,f339]) ).
fof(f482,definition,
( spl2_25
<=> ! [X1] : ~ is_a_theorem(X1) ),
introduced(definition,[new_symbols(definition,[spl2_25])],[avatar_definition]) ).
fof(f483,plain,
( ! [X1] : ~ is_a_theorem(X1)
| ~ spl2_25 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f496,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(not(X1))
| ~ is_a_theorem(X0) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f438,f315]) ).
fof(f994,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(not(X1),X0),X1))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f441,f199]) ).
fof(f1404,plain,
( $false
| ~ spl2_12
| ~ spl2_25 ),
inference(backward_subsumption_resolution,[],[f132,f483]) ).
fof(f1422,plain,
( ~ spl2_12
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f1404]) ).
fof(f2536,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X3),X2))))
| ~ is_a_theorem(X3) )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f468,f132]) ).
fof(f9153,plain,
( ! [X0,X1] :
( is_a_theorem(and(X0,not(X1)))
| ~ is_a_theorem(not(X1))
| ~ is_a_theorem(X0) )
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f183,f496]) ).
fof(f9247,plain,
( ! [X2,X0,X1] :
( is_a_theorem(and(X2,implies(X0,X1)))
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X2) )
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(superposition,[],[f9153,f100]) ).
fof(f9811,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(equiv(X0,X1))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(superposition,[],[f9247,f92]) ).
fof(f9827,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(equiv(X0,X1))
| ~ is_a_theorem(X0) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f9811,f292]) ).
fof(f9877,plain,
( ! [X0] :
( is_a_theorem(equiv(X0,implies(not(X0),X0)))
| ~ is_a_theorem(implies(X0,implies(not(X0),X0))) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f9811,f116]) ).
fof(f9879,plain,
( ! [X0,X1] :
( is_a_theorem(equiv(X0,implies(not(X0),X1)))
| ~ is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ is_a_theorem(implies(X1,X0)) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f9811,f994]) ).
fof(f9965,plain,
( ! [X0,X1] :
( is_a_theorem(equiv(X0,implies(not(X0),X1)))
| ~ is_a_theorem(implies(X1,X0)) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f9879,f124]) ).
fof(f9966,plain,
( ! [X0] : is_a_theorem(equiv(X0,implies(not(X0),X0)))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f9877,f124]) ).
fof(f9968,plain,
( ! [X0] : implies(not(X0),X0) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(resolution,[],[f9966,f149]) ).
fof(f10089,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(not(X0),X1))))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(superposition,[],[f132,f9968]) ).
fof(f10476,plain,
( ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X1) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_18 ),
inference(resolution,[],[f9827,f292]) ).
fof(f10605,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X1)
| ~ is_a_theorem(X0)
| X0 = X1 )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(resolution,[],[f10476,f149]) ).
fof(f10627,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X0)
| implies(X1,X1) = X0 )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(resolution,[],[f10605,f209]) ).
fof(f10794,plain,
( ! [X0,X1] : implies(X0,X0) = implies(X1,X1)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(resolution,[],[f10627,f209]) ).
fof(f11275,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X1,implies(X0,X0)))
| ~ is_a_theorem(X2) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(superposition,[],[f2536,f10794]) ).
fof(f11368,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X0),X2),X2))
| ~ is_a_theorem(X1) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(superposition,[],[f339,f10794]) ).
fof(f11786,definition,
( spl2_342
<=> ! [X0,X1] : is_a_theorem(implies(X1,implies(X0,X0))) ),
introduced(definition,[new_symbols(definition,[spl2_342])],[avatar_definition]) ).
fof(f11787,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,implies(X0,X0)))
| ~ spl2_342 ),
inference(avatar_component_clause,[],[f11786]) ).
fof(f11838,definition,
( spl2_353
<=> ! [X2,X0] : is_a_theorem(implies(implies(implies(X0,X0),X2),X2)) ),
introduced(definition,[new_symbols(definition,[spl2_353])],[avatar_definition]) ).
fof(f11839,plain,
( ! [X2,X0] : is_a_theorem(implies(implies(implies(X0,X0),X2),X2))
| ~ spl2_353 ),
inference(avatar_component_clause,[],[f11838]) ).
fof(f11916,plain,
( spl2_25
| spl2_353
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f11368,f156,f148,f131,f123,f115,f99,f91,f11838,f482]) ).
fof(f11937,plain,
( spl2_25
| spl2_342
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f11275,f156,f148,f131,f123,f115,f99,f91,f11786,f482]) ).
fof(f39118,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| implies(not(X1),X0) = X1 )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(resolution,[],[f9965,f149]) ).
fof(f39313,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X1)
| implies(not(X0),not(X1)) = X0 )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(resolution,[],[f39118,f171]) ).
fof(f39379,plain,
( ! [X0,X1] : implies(not(X0),not(implies(X1,X1))) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(resolution,[],[f39313,f209]) ).
fof(f43535,plain,
( ! [X0] : is_a_theorem(implies(X0,implies(implies(X0,X0),X0)))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(superposition,[],[f10089,f9968]) ).
fof(f43624,plain,
( ! [X0] :
( is_a_theorem(equiv(implies(implies(X0,X0),X0),X0))
| ~ is_a_theorem(implies(implies(implies(X0,X0),X0),X0)) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18 ),
inference(resolution,[],[f43535,f9811]) ).
fof(f43715,plain,
( ! [X0] : is_a_theorem(equiv(implies(implies(X0,X0),X0),X0))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f43624,f11839]) ).
fof(f43792,plain,
( ! [X0] : implies(implies(X0,X0),X0) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_353 ),
inference(resolution,[],[f43715,f149]) ).
fof(f43925,plain,
( ! [X0,X1] : implies(implies(X0,X0),X1) = X1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_353 ),
inference(superposition,[],[f43792,f10794]) ).
fof(f44003,plain,
( ! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X0)))
| ~ is_a_theorem(implies(X1,implies(X0,X0))) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_353 ),
inference(superposition,[],[f196,f43792]) ).
fof(f44211,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_342
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f44003,f11787]) ).
fof(f44255,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,not(X1)),X1),X1))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_342
| ~ spl2_353 ),
inference(resolution,[],[f44211,f211]) ).
fof(f44579,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X1,X1),X2),implies(implies(X2,X0),X0)))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_353 ),
inference(superposition,[],[f132,f43925]) ).
fof(f44817,plain,
( ! [X2,X0] : is_a_theorem(implies(X2,implies(implies(X2,X0),X0)))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_353 ),
inference(forward_demodulation,[],[f44579,f43925]) ).
fof(f45691,plain,
( ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,not(implies(X1,X1)))))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_353 ),
inference(superposition,[],[f44817,f39379]) ).
fof(f48150,plain,
( ! [X0,X1] :
( is_a_theorem(equiv(X0,implies(implies(X1,not(X0)),X0)))
| ~ is_a_theorem(implies(X0,implies(implies(X1,not(X0)),X0))) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_342
| ~ spl2_353 ),
inference(resolution,[],[f44255,f9811]) ).
fof(f48269,plain,
( ! [X0,X1] : is_a_theorem(equiv(X0,implies(implies(X1,not(X0)),X0)))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_342
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f48150,f44211]) ).
fof(f50681,plain,
( ! [X0,X1] : implies(implies(X1,not(X0)),X0) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_342
| ~ spl2_353 ),
inference(resolution,[],[f48269,f149]) ).
fof(f50844,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X1,not(not(X0))),X0))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_342
| ~ spl2_353 ),
inference(superposition,[],[f184,f50681]) ).
fof(f53888,plain,
( ! [X0] : is_a_theorem(implies(not(not(X0)),X0))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_353 ),
inference(superposition,[],[f45691,f39379]) ).
fof(f53941,plain,
( ! [X0] : is_a_theorem(implies(implies(X0,not(X0)),not(X0)))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_353 ),
inference(resolution,[],[f53888,f211]) ).
fof(f53953,plain,
( ! [X0] : implies(not(X0),not(not(X0))) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_353 ),
inference(resolution,[],[f53888,f39118]) ).
fof(f54434,plain,
( ! [X0] : is_a_theorem(implies(X0,not(not(X0))))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_353 ),
inference(superposition,[],[f53941,f53953]) ).
fof(f54577,plain,
( ! [X0] :
( is_a_theorem(equiv(not(not(X0)),X0))
| ~ is_a_theorem(implies(not(not(X0)),X0)) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_353 ),
inference(resolution,[],[f54434,f9811]) ).
fof(f54655,plain,
( ! [X0] : is_a_theorem(equiv(not(not(X0)),X0))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f54577,f53888]) ).
fof(f54664,plain,
( ! [X0] : not(not(X0)) = X0
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_353 ),
inference(resolution,[],[f54655,f149]) ).
fof(f54754,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X0))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_342
| ~ spl2_353 ),
inference(backward_demodulation,[],[f50844,f54664]) ).
fof(f55146,plain,
( ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| ~ spl2_342
| ~ spl2_353 ),
inference(superposition,[],[f54754,f92]) ).
fof(f57567,plain,
( $false
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| spl2_13
| ~ spl2_16
| ~ spl2_18
| ~ spl2_342
| ~ spl2_353 ),
inference(backward_subsumption_resolution,[],[f137,f55146]) ).
fof(f57655,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| spl2_13
| ~ spl2_16
| ~ spl2_18
| ~ spl2_342
| ~ spl2_353 ),
inference(avatar_contradiction_clause,[],[f57567]) ).
cnf(s1,plain,
( ~ spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f93]) ).
cnf(s2,plain,
( ~ spl2_3
| spl2_4 ),
inference(sat_conversion,[],[f101]) ).
cnf(s4,plain,
( ~ spl2_7
| spl2_8 ),
inference(sat_conversion,[],[f117]) ).
cnf(s5,plain,
( ~ spl2_9
| spl2_10 ),
inference(sat_conversion,[],[f125]) ).
cnf(s6,plain,
( ~ spl2_11
| spl2_12 ),
inference(sat_conversion,[],[f133]) ).
cnf(s7,plain,
( ~ spl2_13
| spl2_14 ),
inference(sat_conversion,[],[f142]) ).
cnf(s8,plain,
( ~ spl2_15
| spl2_16 ),
inference(sat_conversion,[],[f150]) ).
cnf(s9,plain,
( ~ spl2_17
| spl2_18 ),
inference(sat_conversion,[],[f158]) ).
cnf(s11,plain,
~ spl2_14,
inference(sat_conversion,[],[f160]) ).
cnf(s12,plain,
spl2_1,
inference(sat_conversion,[],[f161]) ).
cnf(s13,plain,
spl2_17,
inference(sat_conversion,[],[f162]) ).
cnf(s14,plain,
spl2_11,
inference(sat_conversion,[],[f163]) ).
cnf(s15,plain,
spl2_9,
inference(sat_conversion,[],[f164]) ).
cnf(s16,plain,
spl2_7,
inference(sat_conversion,[],[f165]) ).
cnf(s17,plain,
spl2_15,
inference(sat_conversion,[],[f166]) ).
cnf(s20,plain,
spl2_3,
inference(sat_conversion,[],[f169]) ).
cnf(s125,plain,
( ~ spl2_12
| ~ spl2_25 ),
inference(sat_conversion,[],[f1422]) ).
cnf(s1627,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| spl2_25
| spl2_353 ),
inference(sat_conversion,[],[f11916]) ).
cnf(s1656,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| ~ spl2_16
| ~ spl2_18
| spl2_25
| spl2_342 ),
inference(sat_conversion,[],[f11937]) ).
cnf(s2747,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_10
| ~ spl2_12
| spl2_13
| ~ spl2_16
| ~ spl2_18
| ~ spl2_342
| ~ spl2_353 ),
inference(sat_conversion,[],[f57655]) ).
cnf(s2748,plain,
spl2_18,
inference(rat,[],[s9,s13]) ).
cnf(s2749,plain,
spl2_16,
inference(rat,[],[s8,s17]) ).
cnf(s2750,plain,
~ spl2_13,
inference(rat,[],[s7,s11]) ).
cnf(s2752,plain,
spl2_12,
inference(rat,[],[s6,s14]) ).
cnf(s2753,plain,
~ spl2_25,
inference(rat,[],[s125,s2752]) ).
cnf(s2754,plain,
spl2_10,
inference(rat,[],[s5,s15]) ).
cnf(s2757,plain,
spl2_8,
inference(rat,[],[s4,s16]) ).
cnf(s2803,plain,
spl2_4,
inference(rat,[],[s2,s20]) ).
cnf(s2817,plain,
spl2_2,
inference(rat,[],[s1,s12]) ).
cnf(s2911,plain,
spl2_342,
inference(rat,[],[s1656,s2803,s2753,s2748,s2749,s2752,s2754,s2757,s2817]) ).
cnf(s2912,plain,
spl2_353,
inference(rat,[],[s1627,s2803,s2753,s2748,s2749,s2752,s2754,s2757,s2817]) ).
cnf(s3024,plain,
$false,
inference(rat,[],[s2747,s2817,s2803,s2748,s2749,s2750,s2752,s2754,s2757,s2912,s2911]) ).
fof(f57660,plain,
$false,
inference(avatar_sat_refutation,[],[s3024]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL473+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n017.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 15:44:50 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.56/2.35 % (2760207)Detected formulas, will run a generic FOF schedule.
% 10.56/2.35 % (2760216)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2294109445:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.56/2.35 % (2760216)Refutation not found, incomplete strategy
% 10.56/2.35 % (2760216)------------------------------
% 10.56/2.35 % (2760216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.35 % (2760216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.35 % (2760216)CaDiCaL version: 2.1.3
% 10.56/2.35 % (2760216)Termination reason: Refutation not found, incomplete strategy
% 10.56/2.35 % (2760216)Time elapsed: 0.0000 s
% 10.56/2.35 % (2760216)Peak memory usage: 86 MB
% 10.56/2.35 % (2760214)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3513046504:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.56/2.35 % (2760212)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2725055690:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.56/2.35 % (2760213)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=965021532:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.56/2.35 % (2760215)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3708206795:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.56/2.35 % (2760215)Refutation not found, incomplete strategy
% 10.56/2.35 % (2760215)------------------------------
% 10.56/2.35 % (2760215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.35 % (2760215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.35 % (2760215)CaDiCaL version: 2.1.3
% 10.56/2.35 % (2760215)Termination reason: Refutation not found, incomplete strategy
% 10.56/2.35 % (2760215)Time elapsed: 0.001 s
% 10.56/2.35 % (2760215)Peak memory usage: 86 MB
% 10.56/2.35 % (2760218)dis-21_1_sil=8000:lcm=predicate:random_seed=1697534444:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.56/2.35 % (2760217)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=327970524:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.56/2.35 % (2760218)Refutation not found, incomplete strategy
% 10.56/2.35 % (2760218)------------------------------
% 10.56/2.35 % (2760218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.35 % (2760218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.35 % (2760218)CaDiCaL version: 2.1.3
% 10.56/2.35 % (2760218)Termination reason: Refutation not found, incomplete strategy
% 10.56/2.35 % (2760218)Time elapsed: 0.002 s
% 10.56/2.35 % (2760218)Peak memory usage: 88 MB
% 10.56/2.35 % (2760218)Instructions burned: 1 (million)
% 10.56/2.35 % (2760217)Instruction limit reached!
% 10.56/2.35 % (2760217)------------------------------
% 10.56/2.35 % (2760217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.35 % (2760217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.35 % (2760217)CaDiCaL version: 2.1.3
% 10.56/2.35 % (2760217)Termination reason: Instruction limit
% 10.56/2.35 % (2760217)Termination phase: Saturation
% 10.56/2.35 % (2760217)Time elapsed: 0.097 s
% 10.56/2.35 % (2760217)Peak memory usage: 90 MB
% 10.56/2.35 % (2760217)Instructions burned: 139 (million)
% 10.56/2.35 % (2760216)------------------------------
% 10.56/2.35 % (2760216)------------------------------
% 10.56/2.35 % (2760227)lrs+10_1_sil=32000:urr=on:br=off:random_seed=217260090:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.56/2.35 % (2760227)Refutation not found, incomplete strategy
% 10.56/2.35 % (2760227)------------------------------
% 10.56/2.35 % (2760227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.56/2.35 % (2760227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.35 % (2760227)CaDiCaL version: 2.1.3
% 10.56/2.35 % (2760227)Termination reason: Refutation not found, incomplete strategy
% 10.56/2.35 % (2760227)Time elapsed: 0.0000 s
% 10.56/2.35 % (2760227)Peak memory usage: 87 MB
% 10.56/2.35 % (2760215)------------------------------
% 10.56/2.35 % (2760215)------------------------------
% 15.80/3.06 % (2760226)lrs+10_1_sil=8000:sp=occurrence:random_seed=2988515004:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 15.80/3.06 % (2760226)Refutation not found, incomplete strategy
% 15.80/3.06 % (2760226)------------------------------
% 15.80/3.06 % (2760226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.06 % (2760226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.06 % (2760226)CaDiCaL version: 2.1.3
% 15.80/3.06 % (2760226)Termination reason: Refutation not found, incomplete strategy
% 15.80/3.06 % (2760226)Time elapsed: 0.001 s
% 15.80/3.06 % (2760226)Peak memory usage: 88 MB
% 15.80/3.06 % (2760218)------------------------------
% 15.80/3.06 % (2760218)------------------------------
% 15.80/3.06 % (2760227)------------------------------
% 15.80/3.06 % (2760227)------------------------------
% 15.80/3.06 % (2760230)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3111716697:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 15.80/3.06 % (2760230)Refutation not found, incomplete strategy
% 15.80/3.06 % (2760230)------------------------------
% 15.80/3.06 % (2760230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.06 % (2760230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.06 % (2760230)CaDiCaL version: 2.1.3
% 15.80/3.06 % (2760230)Termination reason: Refutation not found, incomplete strategy
% 15.80/3.06 % (2760230)Time elapsed: 0.001 s
% 15.80/3.06 % (2760230)Peak memory usage: 87 MB
% 15.80/3.06 % (2760231)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2238316400:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 15.80/3.06 % (2760232)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3961495264:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 15.80/3.06 % (2760232)Refutation not found, incomplete strategy
% 15.80/3.06 % (2760232)------------------------------
% 15.80/3.06 % (2760232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.06 % (2760232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.06 % (2760232)CaDiCaL version: 2.1.3
% 15.80/3.06 % (2760232)Termination reason: Refutation not found, incomplete strategy
% 15.80/3.06 % (2760232)Time elapsed: 0.0000 s
% 15.80/3.06 % (2760232)Peak memory usage: 86 MB
% 15.80/3.06 % (2760226)------------------------------
% 15.80/3.06 % (2760226)------------------------------
% 15.80/3.06 % (2760231)Instruction limit reached!
% 15.80/3.06 % (2760231)------------------------------
% 15.80/3.06 % (2760231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.06 % (2760231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.06 % (2760231)CaDiCaL version: 2.1.3
% 15.80/3.06 % (2760231)Termination reason: Instruction limit
% 15.80/3.06 % (2760231)Termination phase: Saturation
% 15.80/3.06 % (2760231)Time elapsed: 0.156 s
% 15.80/3.06 % (2760231)Peak memory usage: 92 MB
% 15.80/3.06 % (2760231)Instructions burned: 249 (million)
% 15.80/3.06 % (2760214)Refutation not found, incomplete strategy
% 15.80/3.06 % (2760214)------------------------------
% 15.80/3.06 % (2760214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.06 % (2760214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.06 % (2760214)CaDiCaL version: 2.1.3
% 15.80/3.06 % (2760214)Termination reason: Refutation not found, incomplete strategy
% 15.80/3.06 % (2760214)Time elapsed: 0.562 s
% 15.80/3.06 % (2760214)Peak memory usage: 127 MB
% 15.80/3.06 % (2760214)Instructions burned: 829 (million)
% 15.80/3.06 % (2760230)------------------------------
% 15.80/3.06 % (2760230)------------------------------
% 15.80/3.06 % (2760232)------------------------------
% 15.80/3.06 % (2760232)------------------------------
% 15.80/3.06 % (2760236)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3944451938:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 15.80/3.06 % (2760237)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4175567712:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 15.80/3.06 % (2760237)Refutation not found, incomplete strategy
% 15.80/3.06 % (2760237)------------------------------
% 15.80/3.06 % (2760237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.06 % (2760237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.45/3.72 % (2760237)CaDiCaL version: 2.1.3
% 19.45/3.72 % (2760237)Termination reason: Refutation not found, incomplete strategy
% 19.45/3.72 % (2760237)Time elapsed: 0.001 s
% 19.45/3.72 % (2760237)Peak memory usage: 88 MB
% 19.45/3.72 % (2760240)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2320267989:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 19.45/3.72 % (2760240)Refutation not found, incomplete strategy
% 19.45/3.72 % (2760240)------------------------------
% 19.45/3.72 % (2760240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.45/3.72 % (2760240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.45/3.72 % (2760240)CaDiCaL version: 2.1.3
% 19.45/3.72 % (2760240)Termination reason: Refutation not found, incomplete strategy
% 19.45/3.72 % (2760240)Time elapsed: 0.0000 s
% 19.45/3.72 % (2760240)Peak memory usage: 87 MB
% 19.45/3.72 % (2760239)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1180154297:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 19.45/3.72 % (2760214)------------------------------
% 19.45/3.72 % (2760214)------------------------------
% 19.45/3.72 % (2760239)Instruction limit reached!
% 19.45/3.72 % (2760239)------------------------------
% 19.45/3.72 % (2760239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.45/3.72 % (2760239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.45/3.72 % (2760239)CaDiCaL version: 2.1.3
% 19.45/3.72 % (2760239)Termination reason: Instruction limit
% 19.45/3.72 % (2760239)Termination phase: Saturation
% 19.45/3.72 % (2760239)Time elapsed: 0.074 s
% 19.45/3.72 % (2760239)Peak memory usage: 89 MB
% 19.45/3.72 % (2760239)Instructions burned: 129 (million)
% 19.45/3.72 % (2760240)------------------------------
% 19.45/3.72 % (2760240)------------------------------
% 19.45/3.72 % (2760244)lrs+10_1_sil=8000:sp=occurrence:random_seed=932977311:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 19.45/3.72 % (2760237)------------------------------
% 19.45/3.72 % (2760237)------------------------------
% 19.45/3.72 % (2760245)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=995842624:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 19.45/3.72 % (2760245)Refutation not found, incomplete strategy
% 19.45/3.72 % (2760245)------------------------------
% 19.45/3.72 % (2760245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.45/3.72 % (2760245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.45/3.72 % (2760245)CaDiCaL version: 2.1.3
% 19.45/3.72 % (2760245)Termination reason: Refutation not found, incomplete strategy
% 19.45/3.72 % (2760245)Time elapsed: 0.001 s
% 19.45/3.72 % (2760245)Peak memory usage: 88 MB
% 19.45/3.72 % (2760246)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1589271903:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 19.45/3.72 % (2760248)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2074759781:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 19.45/3.72 % (2760248)Refutation not found, incomplete strategy
% 19.45/3.72 % (2760248)------------------------------
% 19.45/3.72 % (2760248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.45/3.72 % (2760248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.45/3.72 % (2760248)CaDiCaL version: 2.1.3
% 19.45/3.72 % (2760248)Termination reason: Refutation not found, incomplete strategy
% 19.45/3.72 % (2760248)Time elapsed: 0.001 s
% 19.45/3.72 % (2760248)Peak memory usage: 89 MB
% 19.45/3.72 % (2760245)------------------------------
% 19.45/3.72 % (2760245)------------------------------
% 19.45/3.72 % (2760248)------------------------------
% 19.45/3.72 % (2760248)------------------------------
% 19.45/3.72 % (2760252)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4173917583:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 19.45/3.72 % (2760252)Refutation not found, incomplete strategy
% 19.45/3.72 % (2760252)------------------------------
% 19.45/3.72 % (2760252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.45/3.72 % (2760252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.45/3.72 % (2760252)CaDiCaL version: 2.1.3
% 19.45/3.72 % (2760252)Termination reason: Refutation not found, incomplete strategy
% 31.85/5.37 % (2760252)Time elapsed: 0.001 s
% 31.85/5.37 % (2760252)Peak memory usage: 88 MB
% 31.85/5.37 % (2760244)Instruction limit reached!
% 31.85/5.37 % (2760244)------------------------------
% 31.85/5.37 % (2760244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.85/5.37 % (2760244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.85/5.37 % (2760244)CaDiCaL version: 2.1.3
% 31.85/5.37 % (2760244)Termination reason: Instruction limit
% 31.85/5.37 % (2760244)Termination phase: Saturation
% 31.85/5.37 % (2760244)Time elapsed: 0.521 s
% 31.85/5.37 % (2760244)Peak memory usage: 99 MB
% 31.85/5.37 % (2760244)Instructions burned: 907 (million)
% 31.85/5.37 % (2760253)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3873503381:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 31.85/5.37 % (2760252)------------------------------
% 31.85/5.37 % (2760252)------------------------------
% 31.85/5.37 % (2760255)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1248575414:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 31.85/5.37 % (2760255)Refutation not found, incomplete strategy
% 31.85/5.37 % (2760255)------------------------------
% 31.85/5.37 % (2760255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.85/5.37 % (2760255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.85/5.37 % (2760255)CaDiCaL version: 2.1.3
% 31.85/5.37 % (2760255)Termination reason: Refutation not found, incomplete strategy
% 31.85/5.37 % (2760255)Time elapsed: 0.002 s
% 31.85/5.37 % (2760255)Peak memory usage: 88 MB
% 31.85/5.37 % (2760255)Instructions burned: 1 (million)
% 31.85/5.37 % (2760257)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4205438097:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 31.85/5.37 % (2760257)Instruction limit reached!
% 31.85/5.37 % (2760257)------------------------------
% 31.85/5.37 % (2760257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.85/5.37 % (2760257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.85/5.37 % (2760257)CaDiCaL version: 2.1.3
% 31.85/5.37 % (2760257)Termination reason: Instruction limit
% 31.85/5.37 % (2760257)Termination phase: Saturation
% 31.85/5.37 % (2760257)Time elapsed: 0.089 s
% 31.85/5.37 % (2760257)Peak memory usage: 90 MB
% 31.85/5.37 % (2760257)Instructions burned: 135 (million)
% 31.85/5.37 % (2760255)------------------------------
% 31.85/5.37 % (2760255)------------------------------
% 31.85/5.37 % (2760260)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=266235804:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 31.85/5.37 % (2760260)Refutation not found, incomplete strategy
% 31.85/5.37 % (2760260)------------------------------
% 31.85/5.37 % (2760260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.85/5.37 % (2760260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.85/5.37 % (2760260)CaDiCaL version: 2.1.3
% 31.85/5.37 % (2760260)Termination reason: Refutation not found, incomplete strategy
% 31.85/5.37 % (2760260)Time elapsed: 0.001 s
% 31.85/5.37 % (2760260)Peak memory usage: 87 MB
% 31.85/5.37 % (2760261)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3924287533:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 31.85/5.37 % (2760261)Refutation not found, incomplete strategy
% 31.85/5.37 % (2760261)------------------------------
% 31.85/5.37 % (2760261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.85/5.37 % (2760261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.85/5.37 % (2760261)CaDiCaL version: 2.1.3
% 31.85/5.37 % (2760261)Termination reason: Refutation not found, incomplete strategy
% 31.85/5.37 % (2760261)Time elapsed: 0.001 s
% 31.85/5.37 % (2760261)Peak memory usage: 86 MB
% 31.85/5.37 % (2760253)Refutation not found, incomplete strategy
% 31.85/5.37 % (2760253)------------------------------
% 31.85/5.37 % (2760253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.85/5.37 % (2760253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.85/5.37 % (2760253)CaDiCaL version: 2.1.3
% 31.85/5.37 % (2760253)Termination reason: Refutation not found, incomplete strategy
% 31.85/5.37 % (2760253)Time elapsed: 0.584 s
% 49.89/7.97 % (2760253)Peak memory usage: 127 MB
% 49.89/7.97 % (2760253)Instructions burned: 860 (million)
% 49.89/7.97 % (2760236)Instruction limit reached!
% 49.89/7.97 % (2760236)------------------------------
% 49.89/7.97 % (2760236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.89/7.97 % (2760236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.89/7.97 % (2760236)CaDiCaL version: 2.1.3
% 49.89/7.97 % (2760236)Termination reason: Instruction limit
% 49.89/7.97 % (2760236)Termination phase: Saturation
% 49.89/7.97 % (2760236)Time elapsed: 1.509 s
% 49.89/7.97 % (2760236)Peak memory usage: 140 MB
% 49.89/7.97 % (2760236)Instructions burned: 2351 (million)
% 49.89/7.97 % (2760260)------------------------------
% 49.89/7.97 % (2760260)------------------------------
% 49.89/7.97 % (2760261)------------------------------
% 49.89/7.97 % (2760261)------------------------------
% 49.89/7.97 % (2760264)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1104011127:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 49.89/7.97 % (2760253)------------------------------
% 49.89/7.97 % (2760253)------------------------------
% 49.89/7.97 % (2760265)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=863769331:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 49.89/7.97 % (2760266)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1193993197:i=14155:bd=all_2976 on theBenchmark for (2976ds/14155Mi)
% 49.89/7.97 % (2760265)Instruction limit reached!
% 49.89/7.97 % (2760265)------------------------------
% 49.89/7.97 % (2760265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.89/7.97 % (2760265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.89/7.97 % (2760265)CaDiCaL version: 2.1.3
% 49.89/7.97 % (2760265)Termination reason: Instruction limit
% 49.89/7.97 % (2760265)Termination phase: Saturation
% 49.89/7.97 % (2760265)Time elapsed: 0.091 s
% 49.89/7.97 % (2760265)Peak memory usage: 90 MB
% 49.89/7.97 % (2760265)Instructions burned: 150 (million)
% 49.89/7.97 % (2760268)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2537974067:i=667:av=off:fsr=off_2975 on theBenchmark for (2975ds/667Mi)
% 49.89/7.97 % (2760268)Refutation not found, incomplete strategy
% 49.89/7.97 % (2760268)------------------------------
% 49.89/7.97 % (2760268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.89/7.97 % (2760268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.89/7.97 % (2760268)CaDiCaL version: 2.1.3
% 49.89/7.97 % (2760268)Termination reason: Refutation not found, incomplete strategy
% 49.89/7.97 % (2760268)Time elapsed: 0.001 s
% 49.89/7.97 % (2760268)Peak memory usage: 88 MB
% 49.89/7.97 % (2760271)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=947549747:s2a=on:i=185:s2at=1.8:fdi=4_2974 on theBenchmark for (2974ds/185Mi)
% 49.89/7.97 % (2760246)Instruction limit reached!
% 49.89/7.97 % (2760246)------------------------------
% 49.89/7.97 % (2760246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.89/7.97 % (2760246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.89/7.97 % (2760246)CaDiCaL version: 2.1.3
% 49.89/7.97 % (2760246)Termination reason: Instruction limit
% 49.89/7.97 % (2760246)Termination phase: Saturation
% 49.89/7.97 % (2760246)Time elapsed: 1.628 s
% 49.89/7.97 % (2760246)Peak memory usage: 171 MB
% 49.89/7.97 % (2760246)Instructions burned: 5204 (million)
% 49.89/7.97 % (2760271)Instruction limit reached!
% 49.89/7.97 % (2760271)------------------------------
% 49.89/7.97 % (2760271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.89/7.97 % (2760271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.89/7.97 % (2760271)CaDiCaL version: 2.1.3
% 49.89/7.97 % (2760271)Termination reason: Instruction limit
% 49.89/7.97 % (2760271)Termination phase: Saturation
% 49.89/7.97 % (2760271)Time elapsed: 0.121 s
% 49.89/7.97 % (2760271)Peak memory usage: 91 MB
% 49.89/7.97 % (2760271)Instructions burned: 187 (million)
% 49.89/7.97 % (2760268)------------------------------
% 49.89/7.97 % (2760268)------------------------------
% 49.89/7.97 % (2760274)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=370156060:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2972 on theBenchmark for (2972ds/193Mi)
% 61.55/9.50 % (2760274)Refutation not found, incomplete strategy
% 61.55/9.50 % (2760274)------------------------------
% 61.55/9.50 % (2760274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.55/9.50 % (2760274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.55/9.50 % (2760274)CaDiCaL version: 2.1.3
% 61.55/9.50 % (2760274)Termination reason: Refutation not found, incomplete strategy
% 61.55/9.50 % (2760274)Time elapsed: 0.0000 s
% 61.55/9.50 % (2760274)Peak memory usage: 86 MB
% 61.55/9.50 % (2760275)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=275992771:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2971 on theBenchmark for (2971ds/4850Mi)
% 61.55/9.50 % (2760275)Refutation not found, incomplete strategy
% 61.55/9.50 % (2760275)------------------------------
% 61.55/9.50 % (2760275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.55/9.50 % (2760275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.55/9.50 % (2760275)CaDiCaL version: 2.1.3
% 61.55/9.50 % (2760275)Termination reason: Refutation not found, incomplete strategy
% 61.55/9.50 % (2760275)Time elapsed: 0.001 s
% 61.55/9.50 % (2760275)Peak memory usage: 88 MB
% 61.55/9.50 % (2760276)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1104546120:i=12111:sd=1:ss=included_2971 on theBenchmark for (2971ds/12111Mi)
% 61.55/9.50 % (2760274)------------------------------
% 61.55/9.50 % (2760274)------------------------------
% 61.55/9.50 % (2760280)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2444394378:i=319:kws=precedence:fsr=off_2969 on theBenchmark for (2969ds/319Mi)
% 61.55/9.50 % (2760275)------------------------------
% 61.55/9.50 % (2760275)------------------------------
% 61.55/9.50 % (2760282)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=878717743:i=2064:ep=RST_2968 on theBenchmark for (2968ds/2064Mi)
% 61.55/9.50 % (2760282)Refutation not found, incomplete strategy
% 61.55/9.50 % (2760282)------------------------------
% 61.55/9.50 % (2760282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.55/9.50 % (2760282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.55/9.50 % (2760282)CaDiCaL version: 2.1.3
% 61.55/9.50 % (2760282)Termination reason: Refutation not found, incomplete strategy
% 61.55/9.50 % (2760282)Time elapsed: 0.001 s
% 61.55/9.50 % (2760282)Peak memory usage: 88 MB
% 61.55/9.50 % (2760282)Instructions burned: 1 (million)
% 61.55/9.50 % (2760280)Instruction limit reached!
% 61.55/9.50 % (2760280)------------------------------
% 61.55/9.50 % (2760280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.55/9.50 % (2760280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.55/9.50 % (2760280)CaDiCaL version: 2.1.3
% 61.55/9.50 % (2760280)Termination reason: Instruction limit
% 61.55/9.50 % (2760280)Termination phase: Saturation
% 61.55/9.50 % (2760280)Time elapsed: 0.220 s
% 61.55/9.50 % (2760280)Peak memory usage: 92 MB
% 61.55/9.50 % (2760280)Instructions burned: 319 (million)
% 61.55/9.50 % (2760284)dis-1011_128_sil=32000:random_seed=3480126991:i=3706:ep=RST:av=off_2966 on theBenchmark for (2966ds/3706Mi)
% 61.55/9.50 % (2760282)------------------------------
% 61.55/9.50 % (2760282)------------------------------
% 61.55/9.50 % (2760286)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1794419952:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2964 on theBenchmark for (2964ds/757Mi)
% 61.55/9.50 % (2760286)Refutation not found, incomplete strategy
% 61.55/9.50 % (2760286)------------------------------
% 61.55/9.50 % (2760286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.55/9.50 % (2760286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.55/9.50 % (2760286)CaDiCaL version: 2.1.3
% 61.55/9.50 % (2760286)Termination reason: Refutation not found, incomplete strategy
% 61.55/9.50 % (2760286)Time elapsed: 0.001 s
% 61.55/9.50 % (2760286)Peak memory usage: 87 MB
% 61.55/9.50 % (2760286)------------------------------
% 61.55/9.50 % (2760286)------------------------------
% 61.55/9.50 % (2760288)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=2507375790:i=13913:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/13913Mi)
% 61.55/9.50 % (2760264)Instruction limit reached!
% 44.60/11.72 % (2760264)------------------------------
% 44.60/11.72 % (2760264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.60/11.72 % (2760264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.60/11.72 % (2760264)CaDiCaL version: 2.1.3
% 44.60/11.72 % (2760264)Termination reason: Instruction limit
% 44.60/11.72 % (2760264)Termination phase: Saturation
% 44.60/11.72 % (2760264)Time elapsed: 2.089 s
% 44.60/11.72 % (2760264)Peak memory usage: 141 MB
% 44.60/11.72 % (2760264)Instructions burned: 6060 (million)
% 44.60/11.72 % (2760290)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1273110239:i=9925:aac=none_2954 on theBenchmark for (2954ds/9925Mi)
% 44.60/11.72 % (2760284)Instruction limit reached!
% 44.60/11.72 % (2760284)------------------------------
% 44.60/11.72 % (2760284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.60/11.72 % (2760284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.60/11.72 % (2760284)CaDiCaL version: 2.1.3
% 44.60/11.72 % (2760284)Termination reason: Instruction limit
% 44.60/11.72 % (2760284)Termination phase: Saturation
% 44.60/11.72 % (2760284)Time elapsed: 2.370 s
% 44.60/11.72 % (2760284)Peak memory usage: 123 MB
% 44.60/11.72 % (2760284)Instructions burned: 3706 (million)
% 44.60/11.72 % (2760292)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1813160208:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2941 on theBenchmark for (2941ds/2479Mi)
% 44.60/11.72 % (2760292)Refutation not found, incomplete strategy
% 44.60/11.72 % (2760292)------------------------------
% 44.60/11.72 % (2760292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.60/11.72 % (2760292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.60/11.72 % (2760292)CaDiCaL version: 2.1.3
% 44.60/11.72 % (2760292)Termination reason: Refutation not found, incomplete strategy
% 44.60/11.72 % (2760292)Time elapsed: 0.001 s
% 44.60/11.72 % (2760292)Peak memory usage: 87 MB
% 44.60/11.72 % (2760292)------------------------------
% 44.60/11.72 % (2760292)------------------------------
% 44.60/11.72 % (2760294)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=1555625017:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2937 on theBenchmark for (2937ds/440Mi)
% 44.60/11.72 % (2760294)Instruction limit reached!
% 44.60/11.72 % (2760294)------------------------------
% 44.60/11.72 % (2760294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.60/11.72 % (2760294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.60/11.72 % (2760294)CaDiCaL version: 2.1.3
% 44.60/11.72 % (2760294)Termination reason: Instruction limit
% 44.60/11.72 % (2760294)Termination phase: Saturation
% 44.60/11.72 % (2760294)Time elapsed: 0.233 s
% 44.60/11.72 % (2760294)Peak memory usage: 94 MB
% 44.60/11.72 % (2760294)Instructions burned: 440 (million)
% 44.60/11.72 % (2760296)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3128660273:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2933 on theBenchmark for (2933ds/11145Mi)
% 44.60/11.72 [W927 15:44:58.641667738 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 44.60/11.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 44.60/11.72 [W927 15:44:58.641700308 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 44.60/11.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 44.60/11.72 [W927 15:44:58.641737418 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 44.60/11.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 44.60/11.72 [W927 15:44:58.641749455 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 44.60/11.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 44.60/11.72 [W927 15:44:58.641775592 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 44.60/11.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 44.60/11.72 [W927 15:44:58.641786232 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 44.60/11.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 44.60/11.72 [W927 15:44:58.641829939 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 44.60/11.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 44.60/11.72 [W927 15:44:58.641840552 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 44.60/11.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 44.60/11.72 [W927 15:44:58.641864849 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 44.60/11.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 44.60/11.72 [W927 15:44:58.641875029 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 44.60/11.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 44.60/11.72 [W927 15:44:58.641898559 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 44.60/11.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 44.60/11.72 [W927 15:44:58.641908716 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 44.60/11.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 44.60/11.72 % (2760296)Refutation not found, incomplete strategy
% 44.60/11.72 % (2760296)------------------------------
% 44.60/11.72 % (2760296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.60/11.72 % (2760296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.60/11.72 % (2760296)CaDiCaL version: 2.1.3
% 44.60/11.72 % (2760296)Termination reason: Refutation not found, incomplete strategy
% 44.60/11.72 % (2760296)Time elapsed: 0.538 s
% 44.60/11.72 % (2760296)Peak memory usage: 125 MB
% 44.60/11.72 % (2760296)Instructions burned: 822 (million)
% 44.60/11.72 % (2760296)------------------------------
% 44.60/11.72 % (2760296)------------------------------
% 44.60/11.72 % (2760299)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=666122286:cts=off:i=3034:av=off:er=known:fsd=on_2924 on theBenchmark for (2924ds/3034Mi)
% 44.60/11.72 % (2760290)Instruction limit reached!
% 44.60/11.72 % (2760290)------------------------------
% 44.60/11.72 % (2760290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.60/11.72 % (2760290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.60/11.72 % (2760290)CaDiCaL version: 2.1.3
% 44.60/11.72 % (2760290)Termination reason: Instruction limit
% 44.60/11.72 % (2760290)Termination phase: Saturation
% 44.60/11.72 % (2760290)Time elapsed: 3.928 s
% 44.60/11.72 % (2760290)Peak memory usage: 194 MB
% 44.60/11.72 % (2760290)Instructions burned: 9927 (million)
% 44.60/11.72 % (2760301)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=485032174:st=2:s2a=on:i=524:s2at=2:ss=axioms_2914 on theBenchmark for (2914ds/524Mi)
% 44.60/11.72 % (2760301)Refutation not found, incomplete strategy
% 44.60/11.72 % (2760301)------------------------------
% 44.60/11.72 % (2760301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.60/11.72 % (2760301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.60/11.72 % (2760301)CaDiCaL version: 2.1.3
% 44.60/11.72 % (2760301)Termination reason: Refutation not found, incomplete strategy
% 44.60/11.72 % (2760301)Time elapsed: 0.001 s
% 44.60/11.72 % (2760301)Peak memory usage: 88 MB
% 44.60/11.72 % (2760301)Instructions burned: 1 (million)
% 44.60/11.72 % (2760301)------------------------------
% 44.60/11.72 % (2760301)------------------------------
% 44.60/11.72 % (2760303)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=2595336528:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2912 on theBenchmark for (2912ds/1016Mi)
% 44.60/11.72 % (2760303)Refutation not found, incomplete strategy
% 44.60/11.72 % (2760303)------------------------------
% 44.60/11.72 % (2760303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.60/11.72 % (2760303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.60/11.72 % (2760303)CaDiCaL version: 2.1.3
% 44.60/11.72 % (2760303)Termination reason: Refutation not found, incomplete strategy
% 44.60/11.72 % (2760303)Time elapsed: 0.0000 s
% 44.60/11.72 % (2760303)Peak memory usage: 87 MB
% 44.60/11.72 % (2760303)------------------------------
% 44.60/11.72 % (2760303)------------------------------
% 44.60/11.72 % (2760305)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=4125894835:i=14123:bd=preordered:ins=4_2909 on theBenchmark for (2909ds/14123Mi)
% 44.60/11.72 % (2760299)Instruction limit reached!
% 44.60/11.72 % (2760299)------------------------------
% 44.60/11.72 % (2760299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.60/11.72 % (2760299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.60/11.72 % (2760299)CaDiCaL version: 2.1.3
% 44.60/11.72 % (2760299)Termination reason: Instruction limit
% 44.60/11.72 % (2760299)Termination phase: Saturation
% 44.60/11.72 % (2760299)Time elapsed: 1.723 s
% 44.60/11.72 % (2760299)Peak memory usage: 144 MB
% 44.60/11.72 % (2760299)Instructions burned: 3035 (million)
% 44.60/11.72 % (2760276)Instruction limit reached!
% 44.60/11.72 % (2760276)------------------------------
% 44.60/11.72 % (2760276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.60/11.72 % (2760276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.60/11.72 % (2760276)CaDiCaL version: 2.1.3
% 44.60/11.72 % (2760276)Termination reason: Instruction limit
% 44.60/11.72 % (2760276)Termination phase: Saturation
% 44.60/11.72 % (2760276)Time elapsed: 6.478 s
% 44.60/11.72 % (2760276)Peak memory usage: 263 MB
% 44.60/11.72 % (2760276)Instructions burned: 12113 (million)
% 44.60/11.72 % (2760307)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=3982999513:i=5781:kws=precedence:bd=all:rawr=on_2906 on theBenchmark for (2906ds/5781Mi)
% 44.60/11.72 % (2760308)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=2080928841:i=2448:gtgl=5:bd=preordered:gtg=all_2905 on theBenchmark for (2905ds/2448Mi)
% 44.60/11.72 % (2760266)Instruction limit reached!
% 44.60/11.72 % (2760266)------------------------------
% 44.60/11.72 % (2760266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.60/11.72 % (2760266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.60/11.72 % (2760266)CaDiCaL version: 2.1.3
% 44.60/11.72 % (2760266)Termination reason: Instruction limit
% 44.60/11.72 % (2760266)Termination phase: Saturation
% 44.60/11.72 % (2760266)Time elapsed: 7.710 s
% 44.60/11.72 % (2760266)Peak memory usage: 255 MB
% 44.60/11.72 % (2760266)Instructions burned: 14157 (million)
% 44.60/11.72 % (2760311)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=4282887904:i=3223:kws=precedence:fgj=on:av=off_2897 on theBenchmark for (2897ds/3223Mi)
% 44.60/11.72 % (2760307)First to succeed.
% 44.60/11.72 % (2760307)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2760207"
% 44.60/11.72 % (2760307)Refutation found. Thanks to Tanya!
% 44.60/11.72 % SZS status Theorem for theBenchmark
% 44.60/11.72 % SZS output start Proof for theBenchmark
% See solution above
% 77.50/11.92 % (2760307)------------------------------
% 77.50/11.92 % (2760307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.50/11.92 % (2760307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.50/11.92 % (2760307)CaDiCaL version: 2.1.3
% 77.50/11.92 % (2760307)Termination reason: Refutation
% 77.50/11.92 % (2760307)Time elapsed: 1.044 s
% 77.50/11.92 % (2760307)Peak memory usage: 110 MB
% 77.50/11.92 % (2760307)Instructions burned: 1732 (million)
% 77.50/11.92 % (2760307)------------------------------
% 77.50/11.92 % (2760307)------------------------------
% 77.50/11.92 % (2760207)Success in time 10.865 s
% 77.50/11.92 % Vampire exiting
%------------------------------------------------------------------------------